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 A174777 y-values in the solution to x^2 - 38*y^2 = 1. 2

%I

%S 0,6,444,32850,2430456,179820894,13304315700,984339540906,

%T 72827821711344,5388274467098550,398659482743581356,

%U 29495413448557921794,2182261935710542631400,161457887829131596801806

%N y-values in the solution to x^2 - 38*y^2 = 1.

%C The corresponding values of x of this Pell equation are in A174750.

%H Vincenzo Librandi, <a href="/A174777/b174777.txt">Table of n, a(n) for n = 1..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (74,-1).

%F a(n) = 74*a(n-1)-a(n-2) with a(1)=0, a(2)=6.

%F G.f.: 6*x^2/(1-74*x+x^2).

%t LinearRecurrence[{74,-1},{0,6},30]

%o (Magma) I:=[0, 6]; [n le 2 select I[n] else 74*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A174750.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 15 2010

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Last modified January 27 01:46 EST 2023. Contains 359836 sequences. (Running on oeis4.)